Simplify fourth root of 8* fourth root of 2

$\sqrt[4]{8} \cdot \sqrt[4]{2}$

Step 1

Combine using the product rule for radicals.

$\sqrt[4]{8 \cdot 2}$

Step 2

Write the expression using exponents.

Multiply $8$ by $2$ .

$\sqrt[4]{16}$

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{2^{4}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$2$